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Finding the Fourth Proportional to 7,577.68, 10,457.67 and 5,058.18

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Solution

The fourth proportional to 7,577.68, 10,457.67 and 5,058.18 is: 6,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.68 : 10,457.67 = 5,058.18 : x
  2. Step 2: Convert to fraction form
    7,577.68/10,457.67 = 5,058.18/x
  3. Step 3: Cross multiply
    7,577.68x = 10,457.67 × 5,058.18
  4. Step 4: Simplify right side
    7,577.68x = 52,896,777.24
  5. Step 5: Solve for x
    x = 52,896,777.24/7,577.68
  6. Step 6: Final answer
    x = 6,980.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.